Local topology of reducible divisors
| dc.creator | Dimca, Alexandru | |
| dc.creator | Libgober, Anatoly | |
| dc.date | 2003-03-18 | |
| dc.date | 2003-11-12 | |
| dc.date.accessioned | 2026-07-07T04:56:08Z | |
| dc.date.available | 2026-07-07T04:56:08Z | |
| dc.description | We show that the universal abelian cover of the complement to a germ of a reducible divisor on a complex space $Y$ with isolated singularity is $(dimY-2)$-connected provided that the divisor has normal crossings outside of the singularity of $Y$. We apply this result to obtain a vanishing property for the cohomology of local systems of rank one and we also study vanishing in the case of local systems of higher rank. This second version contains a corrected proof of Corollary 4.1 from the first version. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0303215 | |
| dc.identifier | http://arxiv.org/abs/math/0303215 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66818 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 14F17, 14F45, 32S22, 32S55 | |
| dc.title | Local topology of reducible divisors | |
| dc.type | text |